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Finding the Fourth Proportional to 2,360.61, 3,540.92 and 629.24

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Solution

The fourth proportional to 2,360.61, 3,540.92 and 629.24 is: 943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.61 : 3,540.92 = 629.24 : x
  2. Step 2: Convert to fraction form
    2,360.61/3,540.92 = 629.24/x
  3. Step 3: Cross multiply
    2,360.61x = 3,540.92 × 629.24
  4. Step 4: Simplify right side
    2,360.61x = 2,228,067.65
  5. Step 5: Solve for x
    x = 2,228,067.65/2,360.61
  6. Step 6: Final answer
    x = 943.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.